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Finding the Fourth Proportional to 11,194.62, 15,448.02 and 6,158.71

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Solution

The fourth proportional to 11,194.62, 15,448.02 and 6,158.71 is: 8,498.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194.62 : 15,448.02 = 6,158.71 : x
  2. Step 2: Convert to fraction form
    11,194.62/15,448.02 = 6,158.71/x
  3. Step 3: Cross multiply
    11,194.62x = 15,448.02 × 6,158.71
  4. Step 4: Simplify right side
    11,194.62x = 95,139,828.02
  5. Step 5: Solve for x
    x = 95,139,828.02/11,194.62
  6. Step 6: Final answer
    x = 8,498.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.